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Finding the Third Proportional to 437,826 and 950,382

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Solution

The third proportional to 437,826 and 950,382 is: 2,062,979.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,826 : 950,382 = 950,382 : x
  2. Step 2: Convert to fraction form
    437,826/950,382 = 950,382/x
  3. Step 3: Cross multiply
    437,826x = 950,382 × 950,382
  4. Step 4: Simplify right side
    437,826x = 903,225,945,924
  5. Step 5: Solve for x
    x = 903,225,945,924/437,826
  6. Step 6: Final answer
    x = 2,062,979.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.